Hexagons! - Page Text Content

2: The hexagon has 6 sides and 6 vertices. Label the vertices A, B, C, D, E, and F. Draw a line from A D, B E, and C F. The lines intersect at the center of the hexagon. You should see 6 triangles. The area of the hexagon = 6 * area of 1 triangle. If the hexagon is a regular hexagon, each triangle is an equilateral triangle. So, the length of each side of an equilateral triangle equals the length of the side of the hexagon. Area of triangle = * base * height The angles = 60 Base = length of side of hexagon. Draw a perpendicular line from the center of the hexagon to a side. This line divides the equilateral triangle into 2 right triangles. The side of the equilateral triangle is the hypotenuse of the right triangle. The perpendicular line is the height of the equilateral triangle. The length of the perpendicular (length of hypotenuse) = sin 60 Length of hypotenuse = length of base of equilateral triangle = length side of hexagon Height (length of side of hexagon) = sin 60 Height = (length of side of hexagon) * sin 60 Base = (length of side of hexagon) Area of equilateral triangle = * (length of side of hexagon)^2 * sin 60 Area of hexagon = 6 * area of equilateral triangle Area of hexagon = 3 * (length of side of hexagon)^2 * sin 60

3: these all show how to determine the area of a hexagon!

4: Choose which one is a REAL Hexagon!

5: The blue shape! What makes it different from the others is that it has 6 sides! | 6 sides!

6: This is a large amount of hexagons! See? They all have 6 sides! There are also no right or acute angles; just obtuse angles!